Question

Find the slope of the line - a. -3/4 b. 3/4 c. -4/3 d. 4/3

Answer 1

Looking at the line on the graph, we can use a couple of point off of it, to get the slope, hmm the line is passing through -4,4 and 0,1, so let's use those,

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -4 &,& 4~) % (c,d) &&(~ 0 &,& 1~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-4}{0-(-4)}\implies \cfrac{1-4}{0+4}\implies \cfrac{-3}{4}$